%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:04:58 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  11   ~;   8   |;   2   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f138,plain,
    $false,
    inference(avatar_sat_refutation,[],[f131,f133,f137]) ).

fof(f137,plain,
    ~ spl12_2,
    inference(avatar_contradiction_clause,[],[f134]) ).

fof(f134,plain,
    ( $false
    | ~ spl12_2 ),
    inference(resolution,[],[f130,f91]) ).

fof(f91,plain,
    ~ ordinal(empty_set),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ordinal(empty_set),
    inference(flattening,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ordinal(empty_set),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ordinal(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_ordinal1) ).

fof(f130,plain,
    ( ordinal(empty_set)
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl12_2
  <=> ordinal(empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f133,plain,
    spl12_1,
    inference(avatar_contradiction_clause,[],[f132]) ).

fof(f132,plain,
    ( $false
    | spl12_1 ),
    inference(resolution,[],[f126,f88]) ).

fof(f88,plain,
    epsilon_transitive(empty_set),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ( epsilon_transitive(empty_set)
    & epsilon_connected(empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l18_ordinal1) ).

fof(f126,plain,
    ( ~ epsilon_transitive(empty_set)
    | spl12_1 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl12_1
  <=> epsilon_transitive(empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f131,plain,
    ( ~ spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f122,f128,f124]) ).

fof(f122,plain,
    ( ordinal(empty_set)
    | ~ epsilon_transitive(empty_set) ),
    inference(resolution,[],[f61,f87]) ).

fof(f87,plain,
    epsilon_connected(empty_set),
    inference(cnf_transformation,[],[f30]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ epsilon_connected(X0)
      | ordinal(X0)
      | ~ epsilon_transitive(X0) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        & epsilon_connected(X0) )
    <=> ordinal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_ordinal1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 06:29:26 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (21883)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.48  % (21875)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.48  % (21875)First to succeed.
% 0.19/0.48  % (21875)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Theorem for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (21875)------------------------------
% 0.19/0.48  % (21875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (21875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (21875)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (21875)Memory used [KB]: 5500
% 0.19/0.48  % (21875)Time elapsed: 0.069 s
% 0.19/0.48  % (21875)Instructions burned: 3 (million)
% 0.19/0.48  % (21875)------------------------------
% 0.19/0.48  % (21875)------------------------------
% 0.19/0.48  % (21863)Success in time 0.134 s
%------------------------------------------------------------------------------